Resolving a paradox in special relativity—Absolute motion and the unified Doppler equation

One of the great unsolved mysteries in standard cosmology involves the nature of the relationship between absolute motion and relative motion. By the first postulate of Einstein’s special relativity, one cannot tell if one is at rest or in uniform motion in a straight line. However, one can always recognize accelerated motion. The present paper shows that both constant circular motion and constant linear motion represent absolute motion. The strange consequences of having oppositely directed absolute motion are dealt with. The paradox is resolved by first introducing aether-space, and then by deriving and applying the aether-referenced Doppler equation. It is shown how the latter equation, under specified conditions, converts to the Einstein special relativity Doppler expression, and, under another set of conditions, converts to the general Doppler expression. Also, a unified Doppler equation is presented. This unified equation encodes both the absolute Doppler expression and the Einstein special relativity Doppler expression. Absolute relativity and apparent relativity are briefly discussed, and the new relativity postulates are stated.